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Finding the Fourth Proportional to 14,885.65, 20,542.41 and 8,171.16

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Solution

The fourth proportional to 14,885.65, 20,542.41 and 8,171.16 is: 11,276.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,885.65 : 20,542.41 = 8,171.16 : x
  2. Step 2: Convert to fraction form
    14,885.65/20,542.41 = 8,171.16/x
  3. Step 3: Cross multiply
    14,885.65x = 20,542.41 × 8,171.16
  4. Step 4: Simplify right side
    14,885.65x = 167,855,318.90
  5. Step 5: Solve for x
    x = 167,855,318.90/14,885.65
  6. Step 6: Final answer
    x = 11,276.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.